which is a function of the algorithm time \(t_{\mathrm {algo}}\) . In order to perform accurate comparisons of quantum channels with different mean relaxation times, \(\mu _{T_1}\) , we rewrite the critical time as a function of the damping parameter, \(\gamma \) , that the AD channel exhibits when its static version is considered (This is similar to the normalization done in [1]}, as the damping rate is a function of the algorithm time and the relaxation time). Note that if the calculations were done as a function of the algorithm time, the comparison between qubits with different mean relaxation times would not be ideal since for a fixed \(t_{algo}\) , higher values of \(\mu _{T_1}\)  result in lower values of \(\gamma \)  and thus, lower channel noise. It is obvious that longer mean relaxation times are more favorable for computing applications, as they allow for longer algorithm times. However, we are interested in calculating the quantum outage probability versus the noise level of the channel, i.e, we want to know how much noise a qubit is able to tolerate. Consequently, we obtain the time that the quantum algorithm would require to reach a noise level \(\gamma \)  for the static AD channel as [2]}
\(t_{\mathrm {algo}} = - \mu _{T_1}\ln {(1 - \gamma )}.\) 
